Purely twistorial string with canonical twistor field quantization
arXiv:0811.3353 · doi:10.1103/PhysRevD.79.066006
Abstract
We introduce new purely twistorial scale-invariant action describing the composite bosonic D=4 Nambu-Goto string with target space parametrized by the pair of D=4 twistors. We show that by suitable gauge fixing of local scaling one gets the bilinear twistorial action and canonical quantization rules for the two-dimensional twistor-string fields. We consider the Poisson brackets of all constraints characterizing our model and we obtain four first class constraints describing two Virasoro constraints and two U(1)xU(1) Kac-Moody (KM) local phase transformations.
v3: 6p.(extended version), in press in Physical Review D
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